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Honors Algebra 2
Chapter 3 Review
Name______________
Pd____Date_________
Solve the Equation.
1.
6 x  4 5  3x

2x
x 1
1.____________________________
Find the slope of the line containing the given points.
2
1
5
2. ( ,3) ( , 1 )
3
2
6
2.____________________________
3. (-a, -w) (-w, -a)
3.____________________________
Find the slope of each line.
1
3
4. x  y  1
4
2
5. 3 x  1  7
4.____________________________
5.____________________________
6. Find k so that the line through the points has slope m.
(k+2, 2k)
(k-1, 5+k)
m = (k-1).
6.____________________________
7. Determine the constant K so that (K, 3K) will be a solution of 3x-6 = 6-y.
7.____________________________
Graph by hand . Find the x and y intercepts. Give domain and Range.
8. 2 x  3 y  6  0
8. D:_________________________
R:_________________________
Y-int_______________________
X-int_______________________
9. 2 y  1  2  3 y
9. D:________________________
R:________________________
Y-int______________________
X-int______________________
Solve each system.
3
2
( x  y )  ( x  1)
10. 4
3
2x  3y  6
11.
10. X=___________Y=__________
1
( x  y)  2
7
1
( x  y)  5
3
11. X=___________ Y=__________
12.
y
10
8
6
4
2
–10 –8
–6
–4
–2
–2
2
4
6
8
10
x
–4
–6
–8
–10
3 2
 4
u v
13.
5 4
  14
u v
13. U=_________ V=____________
Write an equation in standard form for:
14. a line passing thru (2, -5) and perpendicular to 4 y  8  3 x .
14.___________________________
15. x-int = -3 , parallel to x =7
15.___________________________
16. f(9) = 22 and f(15) =30
16.___________________________
Write an equation in standard form for:
17. Perpendicular bisector of the segment connecting (3,4) and (-2,6)
17.___________________________
Set up and Solve.
18. A plane whose air speed is 150 mph flew from Mathville to Fraction City in 2hr
with a tailwind. The return trip, against the wind, the plane was still 60 miles
from Mathville after 2hrs. Find the wind speed and distance between Mathville
and Fraction City.
1 x
find : f (1)  _____, f (0)  ______, f (1)  _______
19.
x3
f (2)  _______
f ( x) 
20. If x and y are integers, find the domain of the relation:
( x, y) : y  2  x and y  0 and draw its graph. Is the relation a function?
y
10
8
6
4
2
–10 –8
–6
–4
–2
–2
–4
–6
–8
–10
2
4
6
8
10
x